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Mathematical modeling and analysis of HIV/AIDS control measures
(University of the Western Cape, 2012)
In this thesis, we investigate the HIV/AIDS epidemic in a population which experiences a significant flow of immigrants. We derive and analyse a math-
ematical model that describes the dynamics of HIV infection among the ...
Mathematical modelling of the HIV/AIDS epidemic and the effect of public health education
(University of Western Cape, 2014)
HIV/AIDS is nowadays considered as the greatest public health disaster of modern time.
Its progression has challenged the global population for decades. Through mathematical
modelling, researchers have studied different ...
Mathematical modeling of population dynamics of HIV with antiretroviral treatment and herbal medicine
(University of Western Cape, 2014)
Herbal medicines have been an important part of health and wellness for hundreds of
years. Recently the World Health Organization estimated that 80% of people worldwide
rely on herbal medicines. Herbs contain many ...
Mathematical modeling of an epidemic under vaccination in two interacting populations
(University of the Western Cape, 2011)
In this dissertation we present the quantitative response of an epidemic of the so-called SIR-type, in a population consisting of a local component and a migrant component. Each component can be divided into three classes, ...
Stochastic modeling of an HIV/AIDS epidemic with treatment
(University of the Western Cape, 2019)
The HIV/AIDS epidemic continues to be among the most devastating diseases in human
history despite the new scientific advances and serious public health interventions.
The greatest burden of HIV/AIDS is still in sub-Saharan ...
Design, analysis and simulation of a robust numerical method to solve Zika virus models
(University of the Western Cape, 2019)
This thesis deals with the analysis and robust simulation of mathematical models
describing Zika virus disease. Some background information about the occurrences
of this disease and most recent literature indicating some ...
Mathematical modeling of TB disease dynamics in a crowded population.
(University of the Western Cape, 2020)
Tuberculosis is a bacterial infection which is a major cause of death worldwide. TB is a
curable disease, however the bacterium can become resistant to the first line treatment
against the disease. This leads to a disease ...
Mathematical epidemiology of malaria disease transmission and its optimal control analyses
(University of the Western Cape, 2010)
In this thesis, we present and analyse an SEIR (susceptible-exposed infectious-recovered) model for malaria disease transmission. The model consists treatment and control strategies such as the use of bed nets and spray ...